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4948360190928 = 2433731122931307
BaseRepresentation
bin100100000000010000101…
…0000000101101111010000
3122112001120201201000122000
41020000201100011233100
51122033220202102203
614305124552114000
71020335656425000
oct110004120055720
918461521630560
104948360190928
111638651362700
1267b037995900
1329b822690b1b
1413170535c000
1588ab8e174a3
hex48021405bd0

4948360190928 has 1920 divisors, whose sum is σ = 19505418240000. Its totient is φ = 1197024998400.

The previous prime is 4948360190869. The next prime is 4948360191031. The reversal of 4948360190928 is 8290910638494.

4948360190928 is a `hidden beast` number, since 4 + 9 + 483 + 60 + 1 + 9 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×49483601909282 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16118436951 + ... + 16118437257.

It is an arithmetic number, because the mean of its divisors is an integer number (10159072000).

Almost surely, 24948360190928 is an apocalyptic number.

4948360190928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4948360190928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752709120000).

4948360190928 is an abundant number, since it is smaller than the sum of its proper divisors (14557058049072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4948360190928 is a wasteful number, since it uses less digits than its factorization.

4948360190928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 4948360190928 in words is "four trillion, nine hundred forty-eight billion, three hundred sixty million, one hundred ninety thousand, nine hundred twenty-eight".